| 书目名称 | Non-metrisable Manifolds | | 编辑 | David Gauld | | 视频video | | | 概述 | The first dedicated book on understanding non-metrisable manifolds.The interesting boundary between metrisability and non-metrisability for a manifold is addressed.Highlights over 25 years of research | | 图书封面 |  | | 描述 | .Manifolds fall naturally into two classes depending on whether they can be fitted with a distance measuring function or not. The former, metrisable manifolds, and especially compact manifolds, have been intensively studied by topologists for over a century, whereas the latter, non-metrisable manifolds, are much more abundant but have a more modest history, having become of increasing interest only over the past 40 years or so. The first book on this topic, this book ranges from criteria for metrisability, dynamics on non-metrisable manifolds, Nyikos’s Bagpipe Theorem and whether perfectly normal manifolds are metrisable to structures on manifolds, especially the abundance of exotic differential structures and the dearth of foliations on the long plane. A rigid foliation of the Euclidean plane is described. This book is intended for graduate students and mathematicians who are curious about manifolds beyond the metrisability wall, and especially the use of Set Theory as a tool.. | | 出版日期 | Book 2014 | | 关键词 | Bagpipe Theorem; Brown’s Monotone Union Theorem; Continuum Hypothesis; Dynamics on Manifolds; Exotic Str | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-287-257-9 | | isbn_softcover | 978-981-10-1152-8 | | isbn_ebook | 978-981-287-257-9 | | copyright | Springer Science+Business Media Singapore 2014 |
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发表于 2025-3-21 18:04:06
